Question

107 x 107 + 93 x 93 = ?

Options:
A .  19578
B .  19418
C .  20098
D .  21908
E .  None of these
Answer: Option C

107 x 107 + 93 x 93
= (107)2 + (93)2
= (100 + 7)2 + (100 - 7)2
= 2 x [(100)2 + 72]       [Ref: (a + b)2 + (a - b)2 = 2(a2 + b2)]
= 20098

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